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Finding the Third Proportional to 488,223,783 and 1,071,263,847

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Solution

The third proportional to 488,223,783 and 1,071,263,847 is: 2,350,574,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,223,783 : 1,071,263,847 = 1,071,263,847 : x
  2. Step 2: Convert to fraction form
    488,223,783/1,071,263,847 = 1,071,263,847/x
  3. Step 3: Cross multiply
    488,223,783x = 1,071,263,847 × 1,071,263,847
  4. Step 4: Simplify right side
    488,223,783x = 1,147,606,229,889,239,424
  5. Step 5: Solve for x
    x = 1,147,606,229,889,239,424/488,223,783
  6. Step 6: Final answer
    x = 2,350,574,203.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.